{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conditional Mixture Models\n",
    "## Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import bernoulli\n",
    "from numpy.linalg import inv\n",
    "from numpy.random import multivariate_normal, rand, randn, seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\"\n",
    "plt.rcParams[\"axes.spines.right\"] = False\n",
    "plt.rcParams[\"axes.spines.top\"] = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider $K$ logistic regression models ($f_k: \\mathbb{R}^M\\to[0,1]$), each governed by its own weight vector ${\\bf w}_k$. To make a **mixture of logistic regressions**, we consider a set of weighting coefficients $\\{\\pi_k\\}_k$ and a mixture distribution given by\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "    p({\\bf t}\\vert \\boldsymbol\\theta,\\boldsymbol\\phi) &= \\sum_{k=1}^K \\pi_k \\text{Bern}\\big(t_n\\vert\\sigma\\left({\\bf w}_k^T\\boldsymbol\\phi_n\\right)\\big)\\\\\n",
    "    &= \\sum_{k=1}^K \\pi_k \\sigma\\left({\\bf w}_k^T\\boldsymbol\\phi_n\\right)^{t_n}\\left(1 -  \\sigma\\left({\\bf w}_k^T\\boldsymbol\\phi_n\\right)\\right)^{1-t_n}\\\\\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "Where $\\boldsymbol\\theta=\\big\\{\\{{\\bf w}_k\\}_k, \\{\\pi_k\\}_k\\big\\}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to find the values of $\\boldsymbol\\theta$, we make use of th EM algorithm by introducing latent variables ${\\bf Z}=\\{{\\bf z}_n\\}_n$. The EM algorithm then turns in finding the coefficients\n",
    "\n",
    "$$\n",
    "\\gamma_{nk} = \\frac{\\pi_k\\text{Bern}\\big(t_n\\vert\\sigma\\left({\\bf w}_k^T\\boldsymbol\\phi_n\\right)\\big)}{\\sum_j\\pi_j\\text{Bern}\\big(t_n\\vert\\sigma\\left({\\bf w}_j^T\\boldsymbol\\phi_n\\right)\\big)}\n",
    "$$\n",
    "\n",
    "for the **E-step**, and maximizing\n",
    "\n",
    "$$\n",
    "Q(\\boldsymbol\\theta, \\boldsymbol\\theta^{\\text{old}}) = \\sum_{n=1}^N\\sum_{k=1}^K \\gamma_{nk}\\big[\\log\\pi_k +  t_n\\log\\sigma\\left({\\bf w}^T_k\\boldsymbol\\phi_n\\right) + (1 - t_n)\\log\\left(1 - \\sigma\\left({\\bf w}^T_k\\boldsymbol\\phi_n\\right)\\right)\\big]\n",
    "$$\n",
    "\n",
    "w.r.t. each component of $\\boldsymbol\\theta$ for the **M-step**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The M-step results updating the equations:\n",
    "\n",
    "$$\n",
    "\\pi_k^\\text{new} = \\frac{1}{N}\\sum_{n=1}^N\\gamma_{nk}\n",
    "$$\n",
    "\n",
    "And updating ${\\bf w}_k$ using the IRLS algorithm (see chapter4) as:\n",
    "\n",
    "$$\n",
    "    {\\bf w}_k := {\\bf w}_k - {\\bf H}^{-1}\\nabla {\\mathcal L}_{{\\bf k}_k}({\\bf w})\n",
    "$$\n",
    "\n",
    "With\n",
    "\n",
    "$$\n",
    "\\nabla {\\mathcal L}_{{\\bf k}_k}({\\bf w}) = \\sum_{n=1}^N\\gamma_{nk}\\left[t_n - \\sigma\\left({\\bf w}^T_k\\boldsymbol\\phi_n\\right)\\right]\\boldsymbol\\phi_n\n",
    "$$\n",
    "\n",
    "$$\n",
    "{\\bf H} = -\\sum_{n=1}^N \\sigma\\left({\\bf w}^T_k\\boldsymbol\\phi_n\\right)\\left[1 - \\sigma\\left({\\bf w}^T_k\\boldsymbol\\phi_n\\right)\\right]\\boldsymbol\\phi_n\\boldsymbol\\phi_n^T\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(314)\n",
    "mus = np.array([\n",
    "    [0, -2],\n",
    "    [-2, 0],\n",
    "    [0, 2],\n",
    "    [2, 0]\n",
    "])\n",
    "cat = np.array([0, 1, 0, 1])\n",
    "\n",
    "sigma = 0.5\n",
    "n_samples = 100\n",
    "X = []\n",
    "t = []\n",
    "\n",
    "for mu, c in zip(mus, cat):\n",
    "    X_sample = multivariate_normal(mean=mu, cov=np.eye(2) * sigma, size=n_samples)\n",
    "    y_sample = np.ones(n_samples) * c\n",
    "    \n",
    "    X.append(X_sample)\n",
    "    t.append(y_sample)\n",
    "\n",
    "X = np.concatenate(X)\n",
    "t = np.concatenate(t)\n",
    "\n",
    "D = np.c_[X, t]\n",
    "np.random.shuffle(D)\n",
    "\n",
    "X, t = D[:, :2], D[:, -1]\n",
    "N, M = X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fc549b06890>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 249,
       "width": 370
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(*X.T, c=t, cmap=\"Dark2\", facecolors=\"none\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "phi = np.c_[np.ones(N), X]\n",
    "N, M = phi.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sigmoid(z):\n",
    "    return 1 / (1 + np.exp(-z))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First Iteration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# parameter initializiation\n",
    "seed(314)\n",
    "# MxK\n",
    "w_em = randn(M, 2)\n",
    "pi_em = rand(2)\n",
    "pi_em = pi_em / pi_em.sum()\n",
    "# auxiliary latent vector: NxK\n",
    "z_em = np.ones((N, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_nk = sigmoid(np.einsum(\"nm,mk->nk\", phi, w_em))\n",
    "Bern_vals_nk = bernoulli(p=p_nk).pmf(t[:, None])\n",
    "gamma_nk = Bern_vals_nk / Bern_vals_nk.sum(axis=1, keepdims=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.49166442, 0.50833558])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Pi update\n",
    "pi_em = gamma_nk.mean(axis=0)\n",
    "pi_em"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.07605521,  0.75302051],\n",
       "       [ 0.7821679 , -0.60002564],\n",
       "       [-0.97233062,  1.07896135]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# w update\n",
    "grad_Lw = np.einsum(\"nk,nm->mk\", gamma_nk * (t[:, None] - p_nk), phi)\n",
    "H_neg = inv(np.einsum(\"nk,nm,nl->kml\", p_nk * (1 - p_nk), phi, phi))\n",
    "w_em = w_em + np.einsum(\"kml,lk->mk\", H_neg, grad_Lw)\n",
    "\n",
    "w_em"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## All together"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def e_step(phi, t, w):\n",
    "    p_nk = sigmoid(np.einsum(\"nm,mk->nk\", phi, w))\n",
    "    Bern_vals_nk = bernoulli(p=p_nk).pmf(t[:, None])\n",
    "    gamma_nk = Bern_vals_nk / Bern_vals_nk.sum(axis=1, keepdims=True)\n",
    "    return gamma_nk\n",
    "\n",
    "def m_step(phi, t, w, gamma_nk):\n",
    "    p_nk = sigmoid(np.einsum(\"nm,mk->nk\", phi, w))\n",
    "    # Pi update\n",
    "    pi = gamma_nk.mean(axis=0)\n",
    "    # w update\n",
    "    grad_Lw = np.einsum(\"nk,nm->mk\", gamma_nk * (t[:, None] - p_nk), phi)\n",
    "    H_neg = inv(np.einsum(\"nk,nm,nl->kml\", p_nk * (1 - p_nk), phi, phi))\n",
    "    w = w + np.einsum(\"kml,lk->mk\", H_neg, grad_Lw)\n",
    "    \n",
    "    return pi, w"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# parameter initializiation\n",
    "seed(31)\n",
    "# MxK\n",
    "w_em = randn(M, 2)\n",
    "pi_em = rand(2)\n",
    "pi_em = pi_em / pi_em.sum()\n",
    "# auxiliary latent vector: NxK\n",
    "z_em = np.ones((N, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "for _ in range(35):\n",
    "    gamma_nk = e_step(phi, t, w_em)\n",
    "    pi_em, w_em = m_step(phi, t, w_em, gamma_nk)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "xmin, xmax = X[:, 0].min(), X[:, 0].max()\n",
    "ymin, ymax = X[:, 1].min(), X[:, 1].max()\n",
    "\n",
    "p_grid = np.mgrid[xmin:xmax*1.1:0.05, ymin:ymax*1.1:0.05]\n",
    "_, S1, S2 = p_grid.shape\n",
    "phi_grid = np.concatenate([np.ones((1, S1, S2)), p_grid], axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_kso = sigmoid(np.einsum(\"mso,mk->kso\", phi_grid, w_em))\n",
    "p_so = np.einsum(\"k,kso->so\", pi_em, p_kso)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 360
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.contourf(*p_grid, p_so, cmap=\"viridis_r\")\n",
    "plt.colorbar()\n",
    "\n",
    "colors = [\"tab:red\" if ti == 1 else \"tab:blue\" for ti in t]\n",
    "plt.scatter(*X.T, c=colors);"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
